Improving the low-lying spectrum of the overlap kernel

Details Improving the low-lying spectrum of the overlap kernel Improving the low-lying spectrum of the overlap kernel

2001-12-20

arxiv.org/abs/hep-lat/0112042v1

Nucl.Phys.Proc.Suppl.109A:81-85,2002

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 8 figures

Scientific paper

10.1016/S0920-5632(02)01394-4

The action of the overlap-Dirac operator on a vector is typically implemented in directly through a multi-shift conjugate gradient solver. The compute-time this takes to evaluate depends upon the condition number $\kappa$ of the matrix that is used as the overlap kernel. We examine the low-lying spectra of various candidate kernels in an effort to optimise $\kappa$, thereby speeding up the overlap evaluation.

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